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Chapter 8 Review Laws of Exponents

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Chapter 8 Review Laws of Exponents

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  1. Chapter 8 Review Laws of Exponents

  2. LAW #1 Product law: Ex: NOTE: add the exponents together when multiplying the powers with the same base. This operation can only be done if the base is the same! SIMPLIFY THESE ON YOUR OWN:

  3. LAW #2 Power of a power: Ex: NOTE: keep the base and multiply the exponents. Multiply the exponents, not add them! SIMPLIFY THESE ON YOUR OWN:

  4. LAW #3 Power of a product: Ex: NOTE: Distribute the power to each number or variable in the parentheses. Multiply the exponents, not add them! SIMPLIFY THESE ON YOUR OWN:

  5. LAW #4 Zero exponent law: Ex: Any power raised to an exponent of zero equals one. SIMPLIFY THESE ON YOUR OWN:

  6. LAW #5 Negative exponents: NOTE: Ex: This does not change the sign of the base. To make an exponent positive, flip the base. SIMPLIFY THESE ON YOUR OWN:

  7. LAW #6 Quotient Property NOTE: Ex: This operation can only be done if the base is the same! Subtract “TOP EXPONENT MINUS THE BOTTOM EXPONENT” SIMPLIFY THESE ON YOUR OWN:

  8. LAW #7 Quotient Property Ex: Distribute the power to the top and bottom of the quotient. SIMPLIFY THESE ON YOUR OWN:

  9. More examples on your own: Ex 1: Ex 6: Ex 2: Ex 7: Ex 3: Ex 4: Ex 8: Ex 5:

  10. More examples on your own: Ex 9: Ex 14: Ex 10: Ex 15: Ex 11: Ex 12: Ex 16: Ex 13:

  11. More examples on your own: Ex 17: Ex 22: Ex 18: Ex 23: Ex 19: Ex 20: Ex 24: Ex 21:

  12. More examples on your own: Ex 25: Ex 30: Ex 26: Ex 31: Ex 27: Ex 28: Ex 32: Ex 29:

  13. Express each number in scientific notation: 1.) 6,300 2.) 4,600,000 3.) 0.00013 4.) 0.000009 6.3 x 103 4.6 x 106 9 x 10-6 1.3 x 10-4

  14. Express each number in decimal form: 1.) 4.5 x 106 2.) 3 x 10-4 3.) 2.36 x 100 4.) 9.1 x 10-1 4,500,000 0.0003 2.36 0.91

  15. Perform the indicated operation. Leave your answer in scientific notation. 1.) 2.) 3.) 4.)